Coupled Fixed Point and Hybrid Generalized Integral Transform Approach to Analyze Fractal Fractional Nonlinear Coupled Burgers Equation-Reference-Cited by-同舟云学术

Coupled Fixed Point and Hybrid Generalized Integral Transform Approach to Analyze Fractal Fractional Nonlinear Coupled Burgers Equation

Published:2023-07-16 Issue:7 Volume:7 Page:551
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Bouzgarrou Souhail Mohammed¹²,Znaidia Sami³,Noor Adeeb⁴^ORCID,Ahmad Shabir⁵^ORCID,Eldin Sayed M.⁶^ORCID

Affiliation:

1. Civil Engineering Department, College of Engineering, Jazan University, Jazan 45142, Saudi Arabia

2. Higher Institute of Applied Sciences and Technologies of Sousse, Sousse University, Sousse 4002, Tunisia

3. Department of Physics, College of Sciences and Arts in Mahayel Asir, King Khalid University, Abha 61421, Saudi Arabia

4. Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 80221, Saudi Arabia

5. Department of Mathematics, University of Malakand, Chakdara 18800, Khyber Pakhtunkhwa, Pakistan

6. Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt

Abstract

In this manuscript, the nonlinear Burgers equations are studied via a fractal fractional (FF) Caputo operator. The results of coupled fixed point theorems in cone metric space are used to discuss the uniqueness of solution to the proposed coupled equations. The solution of the proposed equation is computed via Natural transform associated with the Adomian decomposition method (NADM). The acquired results are graphically presented for some values of fractional order and fractal dimensions. The accuracy and consistency of the applied method is verified through error analysis.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/551/pdf

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